integral of (\sqrt[9]{x}+\sqrt[10]{x})

Lösung

\int (9 x + 10 x) d x

\frac{9}{10} x^{\frac{10}{9}} + \frac{10}{11} x^{\frac{11}{10}} + C

Schritte zur Lösung

\int 9 x + 10 x d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 9 x d x + \int 10 x d x

\int 9 x d x = \frac{9}{10} x^{\frac{10}{9}}

\int 10 x d x = \frac{10}{11} x^{\frac{11}{10}}

= \frac{9}{10} x^{\frac{10}{9}} + \frac{10}{11} x^{\frac{11}{10}}

Füge eine Konstante zur Lösung hinzu

= \frac{9}{10} x^{\frac{10}{9}} + \frac{10}{11} x^{\frac{11}{10}} + C

\frac{\partial}{\partial y} (tan (2 x - y))

n = 1 \sum \infty \frac{3}{( n ( n + 2 ) )}

\int 24 x e^{2.4 x} d x

\frac{d}{d x} (x + 2 x)

\frac{\partial}{\partial x} (x e^{- x^{2}})